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arXiv · hep-th/9303112

SUSY in the sky

G. W. Gibbons·R. H. Rietdijk·J. W. van Holten
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Abstract

Spinning particles in curved space-time can have fermionic symmetries generated by the square root of bosonic constants of motion other than the Hamiltonian. We present a general analysis of the conditions under which such new supersymmetries appear, and discuss the Poisson-Dirac algebra of the resulting set of charges, including the conditions of closure of the new algebra. An example of a new non-trivial supersymmetry is found in black-hole solutions of the Kerr-Newman type and corresponds to the Killing-Yano tensor, which plays an important role in solving the Dirac equation in these black-hole metrics.

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G. W. Gibbons, R. H. Rietdijk, J. W. van Holten. 1993-03-19. SUSY in the sky. https://doi.org/10.1016/0550-3213(93)90472-2

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